# On the Impact of a Small Initial Population Size in the IPOP Active CMA-ES with Mirrored Mutations on the Noiseless BBOB Testbed

1 DOLPHIN - Parallel Cooperative Multi-criteria Optimization
LIFL - Laboratoire d'Informatique Fondamentale de Lille, Inria Lille - Nord Europe
2 TAO - Machine Learning and Optimisation
CNRS - Centre National de la Recherche Scientifique : UMR8623, Inria Saclay - Ile de France, UP11 - Université Paris-Sud - Paris 11, LRI - Laboratoire de Recherche en Informatique
Abstract : Active Covariance Matrix Adaptation and Mirrored Mutations have been independently proposed as improved variants of the well-known optimization algorithm Covariance Matrix Adaptation Evolution Strategy (CMA-ES) for numerical optimization. This paper investigates the impact of the algorithm's population size when both active covariance matrix adaptation and mirrored mutation are used in the CMA-ES. To this end, we compare the CMA-ES with standard population size $\lambda$, i.e., $\lambda = 4 + \lfloor 3\log(D) \rfloor$ with a version with half this population size where $D$ is the problem dimension.
Document type :
Conference papers

Cited literature [10 references]

https://hal.inria.fr/hal-00746122
Contributor : Dimo Brockhoff <>
Submitted on : Saturday, October 27, 2012 - 1:50:42 PM
Last modification on : Tuesday, April 21, 2020 - 1:10:09 AM
Document(s) archivé(s) le : Monday, January 28, 2013 - 3:36:08 AM

### File

wk05p17-brockhoff_authorVersio...
Files produced by the author(s)

### Citation

Dimo Brockhoff, Anne Auger, Nikolaus Hansen. On the Impact of a Small Initial Population Size in the IPOP Active CMA-ES with Mirrored Mutations on the Noiseless BBOB Testbed. GECCO Companion '12, Jul 2012, Philadelphia, PA, United States. pp.285-290, ⟨10.1145/2330784.2330825⟩. ⟨hal-00746122⟩

Record views